It really boils down to taste and budget. The insert version will cost you more in cabinetry. So if budget is an issue, go with the wall chimney hood.

Stainless steel easier to wipe down than wood. Also, it’s more of a pain to buy the separate components for a hood with cabinetry surround than a metal hood where it comes all-in-one.

Also you need to make sure that the cabinetry surround is designed with proper proportions. A metal hood, you just shop for the one with the correct measurements. For a cabinet hood surround, you will have to carefully examine what the designer‘s hood surround plans are. It needs to be 6” wider than the cooktop. It must be deep enough front-to-back which is at least 24” deep; a common error of cabinet hood surrounds is that they are designed too shallow. Also sometimes a cabinetry surround plus a wall of more upper cabinets all around it can look like too much wall of cabinetry. Depends on the design.